컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0467 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Variational Methods in Nonlinear Problems (SS-15) |
| 영문제목 (Title(Eng.)) |
Uniqueness results for degenerate elliptic equation with variable exponent |
| 저자(Author(s)) |
Inbo Sim1 University of Ulsan1 |
| 초록본문(Abstract) | In this talk, we study $p(x)$-Laplacian with the degeneracy subject to Dirichlet boundary condition \begin{equation*} -\text{div}(w(x)|\nabla u|^{p(x)-2}\nabla u)= f(x,u)\quad \textmd{in } \Omega \end{equation*} where $\Omega$ is a bounded domain in $\Bbb R^{N}$ with Lipschitz boundary $\partial \Omega,$ the variable exponent $p: \overline{\Omega} \to (1,\infty)$ is a continuous function, $w$ is a weighted function in $\Omega$ and $f:\Omega\times\Bbb R\to \Bbb R$ satisfies a Carath\'eodory condition and nonincreasing in $u.$ The suitable imbedding and a priori bound are applied to get the uniqueness results. |
| 분류기호 (MSC number(s)) |
35J70 |
| 키워드(Keyword(s)) | p(x)-Laplacian, uniqueness, degeneracy, a priori bound |
| 강연 형태 (Language of Session (Talk)) |
English |